Lorentz Invariant Spacelike Surfaces of Constant Mean Curvature in Anti-de Sitter 3-Space

Author

Jamie Patrick Lambert, University of Southern MississippiFollow

Date of Award

Summer 8-2015

Degree Type

Masters Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

Committee Chair

Sungwook Lee

Committee Chair Department

Mathematics

Committee Member 2

James Lambers

Committee Member 2 Department

Mathematics

Committee Member 3

William Hornor

Committee Member 3 Department

Mathematics

Abstract

In this thesis, I studied Lorentz invariant spacelike surfaces with constant mean curvature H = c in the anti-de Sitter 3-space H³₁(−c²) of constant curvature −c². In particular, I construct Lorentz invariant spacelike surfaces of constant mean curvature c and maximal Lorentz invariant spacelike surfaces in H³₁(−c²). I also studied the limit behavior of those constant mean curvature c surfaces in H³₁(−c²). It turns out that they approach a maximal catenoid in Minkowski 3-space E³₁ as c → 0. The limit maximal catenoid is Lorentz invariant in E³₁.

Copyright

2015, Jamie Patrick Lambert

Recommended Citation

Lambert, Jamie Patrick, "Lorentz Invariant Spacelike Surfaces of Constant Mean Curvature in Anti-de Sitter 3-Space" (2015). Master's Theses. 119.
https://aquila.usm.edu/masters_theses/119